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Finding the Fourth Proportional to 226,322.58, 312,323.88 and 122,955.90

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Solution

The fourth proportional to 226,322.58, 312,323.88 and 122,955.90 is: 169,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,322.58 : 312,323.88 = 122,955.90 : x
  2. Step 2: Convert to fraction form
    226,322.58/312,323.88 = 122,955.90/x
  3. Step 3: Cross multiply
    226,322.58x = 312,323.88 × 122,955.90
  4. Step 4: Simplify right side
    226,322.58x = 38,402,063,756.89
  5. Step 5: Solve for x
    x = 38,402,063,756.89/226,322.58
  6. Step 6: Final answer
    x = 169,678.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.